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Finding the Fourth Proportional to 1,286.51, 1,775.36 and 755.76

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Solution

The fourth proportional to 1,286.51, 1,775.36 and 755.76 is: 1,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.51 : 1,775.36 = 755.76 : x
  2. Step 2: Convert to fraction form
    1,286.51/1,775.36 = 755.76/x
  3. Step 3: Cross multiply
    1,286.51x = 1,775.36 × 755.76
  4. Step 4: Simplify right side
    1,286.51x = 1,341,742.29
  5. Step 5: Solve for x
    x = 1,341,742.29/1,286.51
  6. Step 6: Final answer
    x = 1,042.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.